evaluate $5^{log_{5}(25)}$.

$evaluate $5^{log_{5}(25)}$.$

We know the identity $a^{\log_a(x)} = x$ for $a>0,a
eq1$ and $x>0$.

In the expression $5^{\log_5(25)}$, we have $a = 5$ and $x = 25$. Using the identity $a^{\log_a(x)}=x$, we can directly say that $5^{\log_5(25)}=25$.

$25$